Hello Mr, Ms Intrinsic5,
you made many posts on the same subject.
It is not clear what you want. You say you want to “make”, you gives some references, in one of this reference there is a geometry of Costa surface in OBJ format. SO you gave the answer. Why not using this OBJ ?
Can you explain a bit more what you are after ?
Try to put the good words
You want a Brep, a Mesh (triangular, quad …) You want to 3d print it after some transformation … What transformations …
There are tons of examples on forum like this one, www.grasshopper3d.com
http://lmgtfy.com/?q=minimal+surface+grasshopper+3d